English Vocabulary in Use Upper-intermediate » Unit 52: Numbers and shapes

Word List
  • addition
  • circle
  • circular
  • circumference
  • contract v
  • cube
  • cubic
  • diameter
  • division
  • hemisphere
  • multiplication
  • multiplied by
  • octagon
  • octagonal
  • oval
  • pentagon
  • pentagonal
  • pyramid
  • pyramidal
  • radius
  • rectangle
  • rectangular
  • right angle
  • semi-circle
  • side
  • sphere
  • spherical
  • spiral
  • square
  • subtraction
  • times
  • triangle
  • triangular
Exercises

52.1 ‣ Write the following in words rather than in figures or symbols.

  1. 17.1% of adults have false teeth.
  2. According to a UN study, 2% of the world's population owns over 1/2 of all household wealth.
    _____
  3. 0°C=32°F
    _____
  4. This article says that 8,556,981 people are currently living in London.
    _____

52.2 ‣ How good at maths are you? Try this numbers quiz. Write the answers in words rather than figures.

  1. What is seven times nine?
  2. Name two shapes that have four right angles. _____
  3. Subtract 41 from 93. _____
  4. What is three fifths of twenty? _____
  5. How many sides has an octagon? _____
  6. What is one third of ninety-nine? _____
  7. What is three squared? _____
  8. What is four cubed? _____

52.3 ‣ Complete this table.

descriptionname of shapeadjective
shape with four sides of equal length and four right angles
round shape__________
shape with three sides__________
shape with eight sides__________
shaped a bit like an egg__________
three-dimensional round shape__________
three-dimensional square shape__________

52.4 ‣ Correct the mistakes in how the numbers are said in these sentences.

  1. 32 = 9 Three square equals nine.
  2. 46.6% Oxygen accounts for forty-six comma six per cent of the earth's crust
    _____
  3. 7 x 9 = 63 Seven nine are sixty-three.
    _____
  4. 18° C The temperature today is eighteen points Celsius.
    _____
  5. 3m x 6m My bedroom is three multiplied by six metres.
    _____
  6. 69 What is six at the power of nine?
    _____
  7. 11/16 Eleven sixteens of the students passed the exam.
    _____
  8. 2/3 x 53 = 831/3 Two third times five cubes is eighty-three and three third.

52.5 ‣ Draw the following shapes.

  1. A circle with its diameter indicated.
  2. A right-angled triangle with two equal sides of about two centimetres in length. Draw a small circle at the centre of the triangle and then draw lines from the centre of the circle to each of the angles of the triangle.
  3. A rectangle with diagonal lines joining opposite angles.
  4. An octagon with equal sides. Draw an oval in the middle of the octagon.
  5. A cube of roughly 3cm by 3cm by 3cm.
Answer Key
A ‣ Pronunciation of numbers

Notice how we say the following:

28% twenty-eight per cent

10m x 12m ten metres by twelve metres

12/3 one and two thirds

4/5 four fifths

9/13 nine thirteenths I nine over thirteen

42 four squared

73 seven cubed

84 eight to the power of four

10.3 ten point three

32°C or F thirty-two degrees Celsius or Fahrenheit

Decimal fractions are separated by a dot and not a comma in English and this is pronounced point.

Note how commas are used to separate each set of three numbers in long numbers: 1,623,457 = one million, six hundred and twenty-three thousand, four hundred and fifty-seven.

Telephone numbers are usually said like this: 01223 20675 = oh one double two three, two oh six, seven five.

Language help

When saying a long number, you pronounce each set of up to three digits separately with rising intonation, until the last set, where the intonation falls at the end to make it clear that the number is complete.

B ‣ Two-dimensional shapes

The corresponding adjectives are: circular, pentagonal, rectangular, triangular, square, octagonal, oval.

A rectangle has four right angles. A pentagon has five sides.

A circle is cut in half by its diameter. Its two halves can be called semi-circles.

The radius of a circle is the distance from its centre to the circumference.

C ‣ Three-dimensional shapes

We have skin covering our bodies.

The corresponding adjectives are: spherical, cubic, pyramidal, spiral.

The two halves of a sphere can be called hemispheres.

D ‣ Arithmetic

+ addition      – subtraction      × multiplication      ÷ division

2x + 3y - z = 3z/4x    Two x plus three y minus z equals three z divided by four x or three z over four x

6 × 7= 42    Six times / multiplied by seven is forty-two or six sevens are forty-two

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